Relaxation of Quasilinear Elliptic Systems via A-quasiconvex Envelopes

Free access article

Issue		ESAIM: COCV Volume 7, 2002


Page(s)		309 - 334
DOI		10.1051/cocv:2002014

References

1: J. Ball, B. Kirchheim and J. Kristensen, Regularity of quasiconvex envelopes, Preprint No. 72/1999. Max-Planck Institute für Mathematik in der Naturwissenschaften, Leipzig (1999).
2: B. Dacorogna, Direct Methods in the Calculus of Variations. Springer: Berlin, Heidelberg, New York (1989).
3: I. Fonseca and S. Müller, A-quasiconvexity, lower semicontinuity, and Young measures. SIAM J. Math. Anal. 30 (1999) 1355-1390.
4: R.V. Kohn and G. Strang, Optimal design and relaxation of variational problems, Parts I-III. Comm. Pure Appl. Math. 39 (1986) 113-137, 138-182, 353-377.
5: K.A. Lurie, A.V. Fedorov and A.V. Cherkaev, Regularization of optimal problems of design of bars and plates, Parts 1 and 2. JOTA 37 (1982) 499-543.
6: M. Miettinen and U. Raitums, On C¹-regularity of functions that define G-closure. Z. Anal. Anwendungen 20 (2001) 203-214.
7: F. Murat, Compacité par compensation : condition nécessaire et suffisante de continuité faible sous une hypothèse de rang constant. Ann. Scuola Norm. Super. Pisa 8 (1981) 69-102.
8: U. Raitums, Properties of optimal control problems for elliptic equations, edited by W. Jäger et al., Partial Differential Equations Theory and Numerical Solutions. Boca Raton: Chapman & Hall/CRC, Res. Notes in Math. 406 (2000) 290-297.
9: L. Tartar, An introduction to the homogenization method in optimal design. CIME Summer Course. Troia (1998). http://www.math.cmu.edu/cna/publications.html
10: V.V. Zhikov, S.M. Kozlov and O.A. Oleinik, Homogenization of Differential Operators and Integral Functionals. Springer: Berlin, Hedelberg, New York (1994).

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